Original scientific paper

Common fixed point theorems of different compatible type mappings using Ciric's contraction type condition

G. V. R. Babu
Prasad K. N. V. V. Vara

Abstract

The purpose of this paper is to establish necessary and sufficient conditions for the existence of common fixed points for a compatible
pair of selfmaps under Ciric's contraction type condition. These theorems improve and generalize the results of Mukherjee and Verma [11] and Jungck [9] to a pair of selfmaps. Also established the existence of common fixed points for a pair of compatible mappings of type (B), and obtain a result on the existence of common
fixed points for a pair of compatible mappings of type (A) as corollary. Greguš fixed point theorem follows as a special case to our results.

Keywords

compatible mappings; compatible mappings of type (A); compatible mappings of type (B); common fixed point; linear map; affine map; Banach space; Ciric's contraction type condition; reciprocal continuity

Hrčak ID:

4180

URI

https://hrcak.srce.hr/4180

Publication date:

20.7.2006.

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